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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 198, Number 2, Pages 273–283
DOI: https://doi.org/10.4213/tmf9522 (Mi tmf9522) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Orthogonal and symplectic Yangians and Lie algebra representations

D. R. Karakhanyana, R. Kirshnerb

a Yerevan Physics Institute, Yerevan, Armenia
b LInstitut für Theoretischel Physik, Universität Leipzig, Leipzig, Germany
Full-text PDF (440 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9522
Abstract: Orthogonal or symplectic Yangians are defined by the Yang–Baxter RLL relation involving the fundamental $R$-matrix with $so(n)$ or $sp(2m)$ symmetry. We investigate the conditions on the first- and second-order evaluations as restrictions imposed on the representation weights.
Keywords: orthogonal and symplectic Yangian, first-order evaluation, second-order evaluation, Lie algebra representation.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 18RF-002
Volkswagen Foundation 86 260
Joint Institute for Nuclear Research
This collaborative research was supported by the Joint Institute for Nuclear Research, Dubna (a Heisenberg–Landau grant to R. Kirschner and a Smorodinski-Ter-Antonyan grant to D. Karakhanyan).
The research of D. Karakhanyan is supported in part by the Armenian State Committee of Science (Grant No. 18RF-002) and the Regional Training Network on Theoretical Physics (Volkswagenstiftung Contract No. 86 260).
Received: 21.12.2017
Revised: 22.05.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 198, Issue 2, Pages 239–248
DOI: https://doi.org/10.1134/S0040577919020053
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. R. Karakhanyan, R. Kirshner, “Orthogonal and symplectic Yangians and Lie algebra representations”, TMF, 198:2 (2019), 273–283; Theoret. and Math. Phys., 198:2 (2019), 239–248
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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